Warm up
Write the closed and recursive formulas.
1. 6, 11, 16, 21, 26, ...
2. 2, -1, -4, -7, -10, ...
Sep 25­9:15 AM
Predict the next number in following sequences:
2,4,8,16,32,..........
3,9,27,........
Nov 27­3:17 PM
Geometric Sequences
EQ: How do I write an equation for a sequence
that doubles every time?
Sep 25­8:44 AM
Geometric Sequence: Change occurs by
multiplying by the same value called the
common ratio "r".
Recursive Formula: an = r(an-1)
Closed Formula: an = a1(r)n-1
Sep 25­8:45 AM
Write the closed and recursive formula.
2, 4, 8, 16, 32, ...
Closed:
Recursive:
Sep 25­8:46 AM
Write the closed and recursive formula.
3, 12, 48, 192, 384, ...
Closed:
Recursive:
Sep 25­8:46 AM
Write the closed and recursive formula.
8, 4, 2, 1, .5, ...
Closed:
Recursive:
Sep 25­8:46 AM
Write the closed and recursive formula.
-15, -10, -20/3, -40/9, -80/27, ...
Closed:
Recursive:
Sep 25­8:46 AM
Sep 25­8:47 AM